A transformation for an $n$-balanced $_ 3\Phi _ 2$
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- by H. M. Srivastava PDF
- Proc. Amer. Math. Soc. 101 (1987), 108-112 Request permission
Abstract:
An interesting generalization of the familiar $q$-extension of the Pfaff-Saalschütz theorem is proved and is applied, for example, to derive a reduction formula for a certain double $q$-series. The main theorem (asserting the symmetry in $n$ and $N$ of a function $f(n,N)$ defined in terms of an $n$-balanced basic (or $q{\text { - }}$-) hypergeometric $_3{\Phi _2}$ series by equation (8)) is essentially a $q$-extension of Sheppard’s transformation.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 101 (1987), 108-112
- MSC: Primary 33A30; Secondary 05A30
- DOI: https://doi.org/10.1090/S0002-9939-1987-0897079-3
- MathSciNet review: 897079